Finding the Fourth Proportional to 10,678.86, 16,020.18 and 5,142.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.86 : 16,020.18 = 5,142.24 : x
2. Step 2: Convert to fraction form
   10,678.86/16,020.18 = 5,142.24/x
3. Step 3: Cross multiply
   10,678.86x = 16,020.18 × 5,142.24
4. Step 4: Simplify right side
   10,678.86x = 82,379,610.40
5. Step 5: Solve for x
   x = 82,379,610.40/10,678.86
6. Step 6: Final answer
   x = 7,714.27